What is the Greatest Common Factor of 46574 and 46583?

Greatest common factor (GCF) of 46574 and 46583 is 1.

GCF(46574,46583) = 1

We will now calculate the prime factors of 46574 and 46583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46574 and 46583.

How to find the GCF of 46574 and 46583?

We will first find the prime factorization of 46574 and 46583. After we will calculate the factors of 46574 and 46583 and find the biggest common factor number .

Step-1: Prime Factorization of 46574

Prime factors of 46574 are 2, 11, 29, 73. Prime factorization of 46574 in exponential form is:

46574 = 2¹ × 11¹ × 29¹ × 73¹

Step-2: Prime Factorization of 46583

Prime factors of 46583 are 37, 1259. Prime factorization of 46583 in exponential form is:

46583 = 37¹ × 1259¹

Step-3: Factors of 46574

List of positive integer factors of 46574 that divides 46574 without a remainder.

1, 2, 11, 22, 29, 58, 73, 146, 319, 638, 803, 1606, 2117, 4234, 23287

Step-4: Factors of 46583

List of positive integer factors of 46583 that divides 46574 without a remainder.

1, 37, 1259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46574 and 46583. The biggest common factor number is the GCF number.
So the greatest common factor 46574 and 46583 is 1.

Also check out the Least Common Multiple of 46574 and 46583